IDEAS home Printed from https://ideas.repec.org/a/spr/topjnl/v23y2015i3p773-798.html
   My bibliography  Save this article

Monotonicity of the core-center of the airport game

Author

Listed:
  • Julio González-Díaz
  • Miguel Mirás Calvo
  • Carmen Sandomingo
  • Estela Rodríguez

Abstract

One of the main goals of this paper is to improve the understanding of the way in which the core of a specific cooperative game, the airport game (Littlechild and Owen, Manag Sci 20:370–372, 1973 ), responds to monotonicity properties. Since such properties are defined for single-valued allocation rules, we use the core-center (González-Díaz and Sánchez-Rodríguez, Int J Game Theory 36:27–46, 2007 ) as a proxy for the core. This is natural, since the core-center is the center of gravity of the core and its behavior with respect to a given property can be interpreted as the “average behavior” of the core. We also introduce the lower-cost increasing monotonicity and higher-cost decreasing monotonicity properties that reflect whether a variation in a particular agent’s cost is beneficial to the other agents. Copyright Sociedad de Estadística e Investigación Operativa 2015

Suggested Citation

  • Julio González-Díaz & Miguel Mirás Calvo & Carmen Sandomingo & Estela Rodríguez, 2015. "Monotonicity of the core-center of the airport game," TOP: An Official Journal of the Spanish Society of Statistics and Operations Research, Springer;Sociedad de Estadística e Investigación Operativa, vol. 23(3), pages 773-798, October.
    • Handle: RePEc:spr:topjnl:v:23:y:2015:i:3:p:773-798
    DOI: 10.1007/s11750-014-0358-4
    as

    Download full text from publisher

    File URL: http://hdl.handle.net/10.1007/s11750-014-0358-4
    Download Restriction: Access to full text is restricted to subscribers.
    File URL: https://libkey.io/10.1007/s11750-014-0358-4?utm_source=ideas
    LibKey link: if access is restricted and if your library uses this service, LibKey will redirect you to where you can use your library subscription to access this item
    ---><---

    As the access to this document is restricted, you may want to search for a different version of it.

    References listed on IDEAS

    as
    1. David Housman & (*), Lori Clark, 1998. "Note Core and monotonic allocation methods," International Journal of Game Theory, Springer;Game Theory Society, vol. 27(4), pages 611-616.
    2. J. Arin, 2013. "Monotonic core solutions: beyond Young’s theorem," International Journal of Game Theory, Springer;Game Theory Society, vol. 42(2), pages 325-337, May.
    3. S. C. Littlechild & G. Owen, 1973. "A Simple Expression for the Shapley Value in a Special Case," Management Science, INFORMS, vol. 20(3), pages 370-372, November.
    4. Calleja, Pedro & Rafels, Carles & Tijs, Stef, 2009. "The aggregate-monotonic core," Games and Economic Behavior, Elsevier, vol. 66(2), pages 742-748, July.
    5. Julio González-Díaz & Estela Sánchez-Rodríguez, 2007. "A natural selection from the core of a TU game: the core-center," International Journal of Game Theory, Springer;Game Theory Society, vol. 36(1), pages 27-46, September.
    6. William Thomson, 2007. "Cost allocation and airport problems," RCER Working Papers 537, University of Rochester - Center for Economic Research (RCER).
    Full references (including those not matched with items on IDEAS)

    Citations

    Citations are extracted by the CitEc Project, subscribe to its RSS feed for this item.
    as


    Cited by:

    1. González-Díaz, Julio & Mirás Calvo, Miguel Ángel & Quinteiro Sandomingo, Carmen & Sánchez Rodríguez, Estela, 2016. "Airport games: The core and its center," Mathematical Social Sciences, Elsevier, vol. 82(C), pages 105-115.
    2. Miguel Ángel Mirás Calvo & Carmen Quinteiro Sandomingo & Estela Sánchez-Rodríguez, 2021. "Considerations on the aggregate monotonicity of the nucleolus and the core-center," Mathematical Methods of Operations Research, Springer;Gesellschaft für Operations Research (GOR);Nederlands Genootschap voor Besliskunde (NGB), vol. 93(2), pages 291-325, April.
    3. Miguel Ángel Mirás Calvo & Carmen Quinteiro Sandomingo & Estela Sánchez-Rodríguez, 2022. "The average-of-awards rule for claims problems," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 59(4), pages 863-888, November.

    Most related items

    These are the items that most often cite the same works as this one and are cited by the same works as this one.
    1. Dehez, Pierre & Ferey, Samuel, 2013. "How to share joint liability: A cooperative game approach," Mathematical Social Sciences, Elsevier, vol. 66(1), pages 44-50.
    2. Pierre Dehez, 2013. "Cooperative provision of indivisible public goods," Theory and Decision, Springer, vol. 74(1), pages 13-29, January.
    3. Paula Jaramillo, 2013. "Congestion in irrigation problems," Documentos CEDE 10553, Universidad de los Andes, Facultad de Economía, CEDE.
    4. Yokote, Koji & Funaki, Yukihiko & Kamijo, Yoshio, 2017. "Coincidence of the Shapley value with other solutions satisfying covariance," Mathematical Social Sciences, Elsevier, vol. 89(C), pages 1-9.
    5. J. Arin & E. Inarra & P. Luquin, 2009. "A noncooperative view on two airport cost sharing rules," Review of Economic Design, Springer;Society for Economic Design, vol. 13(4), pages 361-376, December.
    6. Miguel Ángel Mirás Calvo & Carmen Quinteiro Sandomingo & Estela Sánchez Rodríguez, 2016. "Monotonicity implications for the ranking of rules for airport problems," International Journal of Economic Theory, The International Society for Economic Theory, vol. 12(4), pages 379-400, December.
    7. Josep Maria Izquierdo & Carlos Rafels, 2017. "The incentive core in co-investment problems," UB School of Economics Working Papers 2017/369, University of Barcelona School of Economics.
    8. Fatemeh Babaei & Hamidreza Navidi & Stefano Moretti, 2022. "A bankruptcy approach to solve the fixed cost allocation problem in transport systems," TOP: An Official Journal of the Spanish Society of Statistics and Operations Research, Springer;Sociedad de Estadística e Investigación Operativa, vol. 30(2), pages 332-358, July.
    9. Sylvain Ferrières, 2016. "Smoothness, nullified equal loss property and equal division values," Working Papers 2016-01, CRESE.
    10. Hougaard, Jens Leth & Tvede, Mich & Østerdal, Lars Peter, 2013. "Cost Sharing in Chains and Other Fixed Trees," Discussion Papers on Economics 12/2013, University of Southern Denmark, Department of Economics.
    11. Youngsub Chun & Boram Park, 2012. "Population solidarity, population fair-ranking, and the egalitarian value," International Journal of Game Theory, Springer;Game Theory Society, vol. 41(2), pages 255-270, May.
    12. Takayuki Oishi & Shin Sakaue, 2014. "A Microeconomic Analysis toward Building Liability Lawin the Post-Earthquake Era," KIER Working Papers 890, Kyoto University, Institute of Economic Research.
    13. Pedro Calleja & Francesc Llerena, 2017. "Rationality, aggregate monotonicity and consistency in cooperative games: some (im)possibility results," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 48(1), pages 197-220, January.
    14. Osório, António (António Miguel), 2016. "A Sequential Allocation Problem: The Asymptotic Distribution of Resources," Working Papers 2072/266574, Universitat Rovira i Virgili, Department of Economics.
    15. António Osório, 2017. "A Sequential Allocation Problem: The Asymptotic Distribution of Resources," Group Decision and Negotiation, Springer, vol. 26(2), pages 357-377, March.
    16. J. Arin, 2013. "Monotonic core solutions: beyond Young’s theorem," International Journal of Game Theory, Springer;Game Theory Society, vol. 42(2), pages 325-337, May.
    17. Pedro Calleja & Carles Rafels & Stef Tijs, 2012. "Aggregate monotonic stable single-valued solutions for cooperative games," International Journal of Game Theory, Springer;Game Theory Society, vol. 41(4), pages 899-913, November.
    18. Dietzenbacher, Bas, 2020. "Monotonicity and Egalitarianism (revision of CentER DP 2019-007)," Other publications TiSEM 295f156e-91ad-4177-b61a-1, Tilburg University, School of Economics and Management.
    19. Teresa Estañ & Natividad Llorca & Ricardo Martínez & Joaquín Sánchez-Soriano, 2021. "On how to allocate the fixed cost of transport systems," Annals of Operations Research, Springer, vol. 301(1), pages 81-105, June.
    20. Jens Leth Hougaard & Mich Tvede, 2011. "Incremental Cost Sharing in Chains and Fixed Trees," MSAP Working Paper Series 02_2011, University of Copenhagen, Department of Food and Resource Economics.

    Corrections

    All material on this site has been provided by the respective publishers and authors. You can help correct errors and omissions. When requesting a correction, please mention this item's handle: RePEc:spr:topjnl:v:23:y:2015:i:3:p:773-798. See general information about how to correct material in RePEc.

    If you have authored this item and are not yet registered with RePEc, we encourage you to do it here. This allows to link your profile to this item. It also allows you to accept potential citations to this item that we are uncertain about.

    If CitEc recognized a bibliographic reference but did not link an item in RePEc to it, you can help with this form .

    If you know of missing items citing this one, you can help us creating those links by adding the relevant references in the same way as above, for each refering item. If you are a registered author of this item, you may also want to check the "citations" tab in your RePEc Author Service profile, as there may be some citations waiting for confirmation.

    For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: Sonal Shukla or Springer Nature Abstracting and Indexing (email available below). General contact details of provider: http://www.springer.com .

    Please note that corrections may take a couple of weeks to filter through the various RePEc services.

    IDEAS is a RePEc service. RePEc uses bibliographic data supplied by the respective publishers.